在散流动力学中的非对称的异常稳定状态
Yu-Min Hu1, Jan Carl Budich1,2
1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany.
Physical review letters
|January 20, 2026
概括
散散量子系统可以表现出特殊的稳定状态,挑战以前的理论. 这项研究将计算复杂性与这些状态的缩放联系起来,揭示了W=1.1的动态不稳定性.
科学领域:
- 量子动力学 量子动力学是什么?
- 非赫米特物理学 非赫米特物理学
- 计算复杂性 计算复杂性
背景情况:
- 卢维尔发电机中的光谱退化通常表现为异常点.
- 一个no-go定理排除了稳定状态 (零模式) 中的不可诊断的退化.
研究的目的:
- 调查散散状态准备和异常稳定状态的不同时间尺度之间的联系.
- 探索计算复杂性和有限尺寸的扩展到异常稳定状态之间的关系.
主要方法:
- 对卢维尔发电机和非赫尔密斯运营商的分析.
- 涉及量子主方程中编码的NP完全问题的案例研究.
- 检查对称性保护的拓相的消散制备.
- 在林布拉德总方程中对量子跳跃权重 (W) 的参数依赖分析.
主要成果:
- 在消散状态的不同时间尺度中,准备方法在热力学极限中达到异常稳定状态.
- 计算复杂性 (指数和多项式缩放) 与有限大小的缩放相对应,以实现异常稳定状态.
- 在W=1的异常稳定状态表示动态不稳定性的关键点.
结论:
- 稳定状态可以表现出不可诊断的退化,这与之前的不去定理相反.
- 异常稳定状态与计算复杂性和动态不稳定性有关.
- 林布拉德主方程的参数W=1标志着消散系统的不稳定性开始.
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